On the correspondence between mirror-twisted sectors for N=2 supersymmetric vertex operator superalgebras of the form V ⊗ V and N=1 Ramond sectors of V

2014/01/19 by Katrina Barron, Barron, Katrina
Mathematics · Physics and Astronomy · #17B68 #17B69 #17B81 #81R10 #81T40 #81T60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math.QA #msc:17B68 #msc:17B69 #msc:17B81 #msc:81R10 #msc:81T40 #msc:81T60

paper · pdf · doi:10.48550/arxiv.1401.4635

Short note (9 pages) and submission to the Proceedings of the Xth International Workshop on Lie Theory and Its Applications in Physics, June 2013, Varna, Bulgaria, editor V. Dobrev

arxiv created 2014/01/19 · openalex publication_date 2014/01/19 · arxiv updated 2014/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using recent results of the author along with Vander Werf, we present the classification and construction of mirror-twisted modules for N=2 supersymmetric vertex operator superalgebras of the form V ⊗ V for the signed transposition mirror map automorphism. In particular, we show that the category of such mirror-twisted sectors for V⊗ V is isomorphic to the category of N=1 Ramond sectors for V.

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